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2266142208 = 29311289137
BaseRepresentation
bin1000011100010010…
…1001011000000000
312211221010221200220
42013010221120000
514120113022313
61012511143040
7110104614411
oct20704513000
95757127626
102266142208
11a631a6200
12532b14a80
132a164c265
14176d77808
15d3e34823
hex87129600

2266142208 has 240 divisors, whose sum is σ = 6759411120. Its totient is φ = 674037760.

The previous prime is 2266142173. The next prime is 2266142209. The reversal of 2266142208 is 8022416622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266142209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16541116 + ... + 16541252.

It is an arithmetic number, because the mean of its divisors is an integer number (28164213).

Almost surely, 22266142208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379705560).

2266142208 is an abundant number, since it is smaller than the sum of its proper divisors (4493268912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2266142208 is a wasteful number, since it uses less digits than its factorization.

2266142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2266142208 is about 47604.0146206179. The cubic root of 2266142208 is about 1313.4969034221.

It can be divided in two parts, 226614 and 2208, that added together give a palindrome (228822).

The spelling of 2266142208 in words is "two billion, two hundred sixty-six million, one hundred forty-two thousand, two hundred eight".